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Inspired by the success of control barrier functions (CBFs) in addressing safety, and the rise of data-driven techniques for modeling functions, we propose a non-parametric approach for online synthesis of CBFs using Gaussian Processes…

Systems and Control · Electrical Eng. & Systems 2022-08-03 Mouhyemen Khan , Tatsuya Ibuki , Abhijit Chatterjee

Control barrier function (CBF) has recently started to serve as a basis to develop approaches for enforcing safety requirements in control systems. However, constructing such function for a general system is a non-trivial task. This paper…

Systems and Control · Electrical Eng. & Systems 2023-01-02 Zihao Liang , Jason King Ching Lo

In a complex real-time operating environment, external disturbances and uncertainties adversely affect the safety, stability, and performance of dynamical systems. This paper presents a robust stabilizing safety-critical controller…

Systems and Control · Electrical Eng. & Systems 2022-04-29 Ersin Daş , Richard M. Murray

Reinforcement Learning (RL) algorithms have found limited success beyond simulated applications, and one main reason is the absence of safety guarantees during the learning process. Real world systems would realistically fail or break…

Machine Learning · Computer Science 2019-03-22 Richard Cheng , Gabor Orosz , Richard M. Murray , Joel W. Burdick

We propose a novel class of risk-aware control barrier functions (RA-CBFs) for the control of stochastic safety-critical systems. Leveraging a result from the stochastic level-crossing literature, we deviate from the martingale theory that…

Systems and Control · Electrical Eng. & Systems 2023-08-22 Mitchell Black , Georgios Fainekos , Bardh Hoxha , Danil Prokhorov , Dimitra Panagou

In this paper, we provide a compositional framework for synthesizing hybrid controllers for interconnected discrete-time control systems enforcing specifications expressed by co-Buchi automata. In particular, we first decompose the given…

Systems and Control · Electrical Eng. & Systems 2020-02-04 Pushpak Jagtap , Abdalla Swikir , Majid Zamani

Control barrier functions (CBFs) are a powerful tool for the constrained control of nonlinear systems; however, the majority of results in the literature focus on systems subject to a single CBF constraint, making it challenging to…

Systems and Control · Electrical Eng. & Systems 2025-09-05 Max H. Cohen , Eugene Lavretsky , Aaron D. Ames

Control Barrier Functions (CBFs) aim to ensure safety by constraining the control input at each time step so that the system state remains within a desired safe region. This paper presents a framework for CBFs in stochastic systems in the…

Optimization and Control · Mathematics 2020-10-20 Andrew Clark

This paper introduces a safety filter to ensure collision avoidance for multirotor aerial robots. The proposed formalism leverages a single Composite Control Barrier Function from all position constraints acting on a third-order nonlinear…

Robotics · Computer Science 2025-02-07 Marvin Harms , Martin Jacquet , Kostas Alexis

Guaranteeing safety for robotic and autonomous systems in real-world environments is a challenging task that requires the mitigation of stochastic uncertainties. Control barrier functions have, in recent years, been widely used for…

Systems and Control · Electrical Eng. & Systems 2022-03-31 Andrew Singletary , Mohamadreza Ahmadi , Aaron D. Ames

Temporal logic has been widely used to express complex task specifications for cyber-physical systems (CPSs). One way to synthesize a controller for CPS under temporal logic constraints is to first abstract the CPS as a discrete transition…

Systems and Control · Electrical Eng. & Systems 2021-09-28 Luyao Niu , Andrew Clark

Safety control of dynamical systems using barrier functions relies on knowing the full state information. This paper introduces a novel approach for safety control in uncertain MIMO systems with partial state information. The proposed…

Systems and Control · Electrical Eng. & Systems 2024-10-01 Binghan He , Takashi Tanaka

In recent years, formal methods have been extensively used in the design of autonomous systems. By employing mathematically rigorous techniques, formal methods can provide fully automated reasoning processes with provable safety guarantees…

Systems and Control · Electrical Eng. & Systems 2024-02-21 Xiang Yin , Bingzhao Gao , Xiao Yu

We consider controller synthesis for stochastic and partially unknown environments in which safety is essential. Specifically, we abstract the problem as a Markov decision process in which the expected performance is measured using a cost…

Software Engineering · Computer Science 2015-10-21 Sebastian Junges , Nils Jansen , Christian Dehnert , Ufuk Topcu , Joost-Pieter Katoen

This paper aims at the safety-critical control synthesis of network systems such that the satisfaction of the safety constraints can be guaranteed. To handle the large state dimension of such systems, an assume-guarantee contract is used to…

Systems and Control · Electrical Eng. & Systems 2020-09-18 Yuxiao Chen , James Anderson , Karan Kalsi , Aaron D. Ames , Steven H. Low

In this paper, we investigate the use of relaxed logarithmic barrier functions in the context of linear model predictive control. We present results that allow to guarantee asymptotic stability of the corresponding closed-loop system, and…

Optimization and Control · Mathematics 2015-03-12 Christian Feller , Christian Ebenbauer

Safe real-time control of robotic manipulators in unstructured environments requires handling numerous safety constraints without compromising task performance. Traditional approaches, such as artificial potential fields (APFs), suffer from…

Robotics · Computer Science 2025-10-21 Daniel Morton , Marco Pavone

Modern nonlinear control theory seeks to develop feedback controllers that endow systems with properties such as safety and stability. The guarantees ensured by these controllers often rely on accurate estimates of the system state for…

Systems and Control · Electrical Eng. & Systems 2020-11-02 Sarah Dean , Andrew J. Taylor , Ryan K. Cosner , Benjamin Recht , Aaron D. Ames

Learning-based control has recently shown great efficacy in performing complex tasks for various applications. However, to deploy it in real systems, it is of vital importance to guarantee the system will stay safe. Control Barrier…

Systems and Control · Electrical Eng. & Systems 2024-09-05 Fernando Castañeda , Jason J. Choi , Wonsuhk Jung , Bike Zhang , Claire J. Tomlin , Koushil Sreenath

This paper presents conditions for ensuring forward invariance of safe sets under sampled-data system dynamics with piecewise-constant controllers and fixed time-steps. First, we introduce two different metrics to compare the…

Optimization and Control · Mathematics 2021-06-28 Joseph Breeden , Kunal Garg , Dimitra Panagou
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